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o-na [289]
3 years ago
12

Log base 3 of 81 multiplied by log base 2 of 16

Mathematics
1 answer:
coldgirl [10]3 years ago
4 0
\log_381\cdot\log_216=4\cdot4=16

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Find the distance between the points.<br><br> (4,6),(9,6)
andrezito [222]

Answer:

5

Step-by-step explanation:

Find the difference between coordinates:

(x²-x1) = (9 - 4) = 5

(y²-y1) = (6 - 6) = 0

Square the results and sum them up:

(5)² + (0)² = 25 + 0 = 25

Now Find the square root

3 0
3 years ago
Find the slope of the line passing through the points (-6,2), (0,-6).
Serhud [2]

C. -4/3

slope =  \frac{(y _{2} - y _{1}) }{(x _{2} - x _{1} )}  \\  =  \frac{( - 6 - 2)}{(0 -( -  6)}  \\  =  \frac{ - 8}{ 6}  \\  =   - \frac{4}{3}

3 0
3 years ago
There is 12/15 of a pizza left. How many 3/10 pieces can be made from the leftover pizza? Show work please!
Katyanochek1 [597]

How many 1/3 pieces can be made from 2 pizzas, we know it is 6 and it is arrived by dividing 2 by 1/3 or multiplying by its reciprocal 3/1.

Hence to find how many 3/10 pieces can be made from 12/15 pizza, we have to divide 12/15 by 3/10 or multiplying by its reciprocal 10/3, i.e.

12/15 times 10/3= 8/3 or 2  2/3 

What does that mean? This means that while 2 three-tenths pieces can be made, 2/3of 3/10 i.e. <span>2/3×3/10=2/10=1/5</span> or one-fifth of pizza will be left out.

So the answer is 2 three-tenths pieces can be made, and one-fifth pizza will be left out.

5 0
3 years ago
What is the length of AC? What is the measure of angle A? What is the measure of angle B?
kipiarov [429]

Answer/Step-by-step explanation:

✔️Find AC using Pythagorean Theorem:

AC² = 25.2² - 11.3²

AC² = 507.35

AC = √507.35

AC = 22.5 (nearest tenth)

✔️Find m<A using trigonometric ratio:

Reference angle = A

Opp = 11.3

Hyp = 25.2

Sin(A) = opp/hyp

Sin(A) = 11.3/25.2

A = sin^{-1}(11.3/25.2)

A = 26.6° (nearest tenth)

✔️Find m<B using trigonometric ratio:

Reference angle = B

Adj = 11.3

Hyp = 25.2

Cos(A) = adj/hyp

Cos(A) = 11.3/25.2

A = cos^{-1}(11.3/25.2)

A = 63.4° (nearest tenth)

6 0
2 years ago
25 equivalent expressions to 8x+12
-Dominant- [34]
Here are some
1 ) 4 ( x - 3 )
   2 ) 10 x - 2 x - 12
   3 ) 8 x - 4 - 8
8 0
3 years ago
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